Aptitude Questions – Inequalities Set 1

Hello Aspirants. Welcome to Online Quantitative Aptitude Section in AffairsCloud.com. Here we are creating sample questions in Inequalities which is common for all the competitive exams. We have included Some questions that are repeatedly asked in bank exams !!!

1. The respective ratio between the present age of Mohan and David is 5:x. Mohan is 9 years younger than Preethi. Preethi’s age after 9 years will be 33 years. The difference between David’s and Mohan’s age is same as the present age of Preethi.
   Quantity I: Mohan’s present age
   Quantity II: The value of x
   A. Quantity I > Quantity II
   B. Quantity I < Quantity II
   C. Quantity I ≥ Quantity II
   D. Quantity I ≤ Quantity II
   E. Quantity I = Quantity II or relation cannot be established
   
   Answer & Explanation

   A. Quantity I > Quantity II
   Explanation:
   Preethi’s age after 9 years = 33 years
   Preethi’s present age = 33 – 9 = 24 years
   Mohan’s present age = 24 – 9 = 15 years
   David’s present age = 15 + 24 = 39 years
   Ratio between Mohan and David = 15 : 39 = 5 : 13
   X = 13
   
   
2. Sri invested some amount(x) at the rate of 12% simple interest and a certain amount(y) at the rate of 10% simple interest. He received yearly interest of Rs.140. But if he had interchanged the amounts invested, he would have received Rs.4 more as interest.
   Quantity I: The value of x
   Quantity II: The value of y
   A. Quantity I > Quantity II
   B. Quantity I < Quantity II
   C. Quantity I ≥ Quantity II
   D. Quantity I ≤ Quantity II
   E. Quantity I = Quantity II or relation cannot be established
   
   Answer & Explanation

   B. Quantity I < Quantity II
   Explanation:
   Amount invested at 12% = Rs. x
   Amount invested at 10% = Rs. y
   140 = x*12*1/100 + y*10*1/100
   12x + 10y = 14000 -(i)
   144 = x*10*1/100 + y*12*1/100
   10x + 12y = 14400 -(ii)
   x = 545.45; y = 745.45
   
   
3. Ajith can do a piece of work in 10 days, Bala in 15 days. They work together for 5 days, the rest of the work is finished by Chand in two more days. They get Rs. 6000 as wages for the whole work.
   Quantity I: What is the sum of Rs.100 and the daily wage of Bala?
   Quantity II: What is the daily wage of Chand?
   A. Quantity I > Quantity II
   B. Quantity I < Quantity II
   C. Quantity I ≥ Quantity II
   D. Quantity I ≤ Quantity II
   E. Quantity I = Quantity II or relation cannot be established
   
   Answer & Explanation

   E. Quantity I = Quantity II or relation cannot be established
   Explanation:
   Ajith’s 5 days work = 50%
   Bala’s 5 days work = 33.33%
   Chand’s 2 days work = 16.66%[100- (50+33.33)]
   Ratio of contribution of work of Ajith, Bala and Chand = 3 : 2 : 1
   Ajith’s total share = Rs. 3000
   Bala’s total share = Rs. 2000
   Chand’s total share = Rs. 1000
   Ajith’s one day’s earning = Rs.600
   Bala’s one day’s earning = Rs.400
   Chand’s one day’s earning = Rs.500
   
   
4. A Bike is available at 40% discount at showroom “A” and the same is available at only 25% discount at showroom “B”. Mr. Arun has just sufficient amount of Rs. 60,000 to purchase it at showroom “A”.
   Quantity I: Difference between Marked Price and SP at Show Room “A”
   Quantity II: Difference between Marked Price and SP at Show Room “B”
   A. Quantity I > Quantity II
   B. Quantity I < Quantity II
   C. Quantity I ≥ Quantity II
   D. Quantity I ≤ Quantity II
   E. Quantity I = Quantity II or relation cannot be established
   
   Answer & Explanation

   A. Quantity I > Quantity II
   Explanation:
   Let the marked price be x.
   Cost price (CP) = 40 % discount on MP = 0.6y = 60000
   ⇒ y= Rs.100000 MP
   SP at Show Room “A” = Rs. 60000
   SP at Show Room “B” = 100000 X 0.75 = 75000
   Difference between Marked Price and SP at Show Room “A” = 40000
   Difference between Marked Price and SP at Show Room “B” = 25000
   
   
5. Quantity I: (x – 18)² = 0
   Quantity II: y² = 324
   A. Quantity I > Quantity II
   B. Quantity I < Quantity II
   C. Quantity I ≥ Quantity II
   D. Quantity I ≤ Quantity II
   E. Quantity I = Quantity II or relation cannot be established
   
   Answer & Explanation

   C. Quantity I ≥ Quantity II
   Explanation:
   x² – 36x + 324 = 0
   x = 18, 18
   y² = 324
   y = ±18
   
   
6. A Cistern has an inlet pipe and outlet pipe. The inlet pipe fills the cistern completely in 1 hour 20 minutes when the outlet pipe is plugged. The outlet pipe empties the tank completely in 4 hours when the inlet pipe is plugged.
   Quantity I: Inlet pipe Efficiency
   Quantity II: 3 times of Outlet pipe Efficiency
   A. Quantity I > Quantity II
   B. Quantity I < Quantity II
   C. Quantity I ≥ Quantity II
   D. Quantity I ≤ Quantity II
   E. Quantity I = Quantity II or relation cannot be established
   
   Answer & Explanation

   E. Quantity I = Quantity II or relation cannot be established
   Explanation:
   Inlet pipe Efficiency = 100/(8/6) = 75%
   Outlet pipe Efficiency = 100/(4) = 25%
   3 times of Outlet pipe Efficiency = 75%
   
   
7. Harish took an educational loan from a nationalized bank for his 2 years course of MBA. He took the loan of Rs.5 lakh such that he would be charged at 7% p.a. at CI during his course and at 9% CI after the completion of the course. He returned half of the amount which he had to be paid on the completion of his studies and remaining after 2 years. 
   Quantity I: He returned half of the amount which he had to be paid on the completion of his studies
   Quantity II: He returned remaining amount after 2 years
   A. Quantity I > Quantity II
   B. Quantity I < Quantity II
   C. Quantity I ≥ Quantity II
   D. Quantity I ≤ Quantity II
   E. Quantity I = Quantity II or relation cannot be established
   
   Answer & Explanation

   B. Quantity I < Quantity II
   Explanation:
   5,00,000 * (1.07)² = 572450
   Returned amount = 286225
   After two years = 286225 * (1.09)² = 340063
   
   
8. The average salary of the entire staff in an office is Rs 250 per month. The average salary of officers is Rs 520 and that of non-officers is Rs. 200.
   Quantity I: Number of Officers = 15
   Quantity II: Number of Non-Officers
   A. Quantity I > Quantity II
   B. Quantity I < Quantity II
   C. Quantity I ≥ Quantity II
   D. Quantity I ≤ Quantity II
   E. Quantity I = Quantity II or relation cannot be established
   
   Answer & Explanation

   B. Quantity I < Quantity II
   Explanation:
   Let the required number of non–officers = x
   200x + 520 x 15 = 250 ( 15 + x )
   250x – 200x = 520 * 15 – 250 x 15
   50x = 4050
   x = 81
   
   
9. The perimeter of a rectangle and a square is 160 cm each. If the difference between their areas is 600 cm.
   Quantity I: Area of Square
   Quantity II:Area of Rectangle
   A. Quantity I > Quantity II
   B. Quantity I < Quantity II
   C. Quantity I ≥ Quantity II
   D. Quantity I ≤ Quantity II
   E. Quantity I = Quantity II or relation cannot be established
   
   Answer & Explanation

   A. Quantity I > Quantity II
   Explanation:
   Perimeter of rectangle = Perimeter of Square = 160
   4a = 160 => a = 40
   Area of square = 1600
   1600 – lb = 600
   lb = 1000 cm²
   
   
10. Shree started traveling from a place A to B and Priya started traveling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Shree increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at B and A respectively at the same time. 
    Quantity I: Initial Speed of Shree
    Quantity II: Initial Speed of Priya
    A. Quantity I > Quantity II
    B. Quantity I < Quantity II
    C. Quantity I ≥ Quantity II
    D. Quantity I ≤ Quantity II
    E. Quantity I = Quantity II or relation cannot be established
    
    Answer & Explanation

    B. Quantity I < Quantity II
    Explanation:
    Sum of their speeds = Distance/time = 576/12 = 48 kmph
    Respective Speed of Shree and Priya = (23 + 25) = 48 kmph